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Finding the Fourth Proportional to 284,343,536.70, 426,515,305.05 and 284,343,536.70

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Solution

The fourth proportional to 284,343,536.70, 426,515,305.05 and 284,343,536.70 is: 426,515,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,343,536.70 : 426,515,305.05 = 284,343,536.70 : x
  2. Step 2: Convert to fraction form
    284,343,536.70/426,515,305.05 = 284,343,536.70/x
  3. Step 3: Cross multiply
    284,343,536.70x = 426,515,305.05 × 284,343,536.70
  4. Step 4: Simplify right side
    284,343,536.70x = 121,276,870,294,596,368
  5. Step 5: Solve for x
    x = 121,276,870,294,596,368/284,343,536.70
  6. Step 6: Final answer
    x = 426,515,305.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.